The diameter of the plate is 9.24 inches
Step-by-step explanation:
Let us consider the radius to be 'r'
Angle = 120°
Chord length = 8 inches
Chord length = 2rsin(θ/2)
8 = 2r sin(120/2)
8 = 2r sin60°
8/2 = r (√3/2)
4/(√3/2) = r
r = 8/√3
r = 8/1.73
r = 4.62 inches
Diameter of the plate = 2(4.62)
= 9.24 inches
The diameter of the plate is 9.24 inches
Answer:
24.187
Step-by-step explanation:
Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
Answer:
A.
Step-by-step explanation:
We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

Thus, the slope is -4.
Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

Where (x1, y1) is a coordinate pair and m is the slope.
Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

This is also slope-intercept form. The answer is A.